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Finding the Fourth Proportional to 119,617.24, 165,071 and 65,901

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Solution

The fourth proportional to 119,617.24, 165,071 and 65,901 is: 90,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,617.24 : 165,071 = 65,901 : x
  2. Step 2: Convert to fraction form
    119,617.24/165,071 = 65,901/x
  3. Step 3: Cross multiply
    119,617.24x = 165,071 × 65,901
  4. Step 4: Simplify right side
    119,617.24x = 10,878,343,971
  5. Step 5: Solve for x
    x = 10,878,343,971/119,617.24
  6. Step 6: Final answer
    x = 90,942.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.